The mean of a normally distributed dataset is 12, and the standard deviation is 2.
2 answers:
Answer:
95.44% of the data lies between 8 and 16.
Step-by-step explanation:
Since, z score or standard score formula is,
Where,
= mean of the data,
= standard deviation,
Let X represents a data point,
So, we have to find out,
P( 8 < X < 16),
Since,
( By the z-score table )
Hence, 95.44% of the data lies between 8 and 16.
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Answer:
Step-by-step explanation:
Knowing the three zeros of the equation, we can set it up as follows:
Multipying the first two expressions together gives us the following:
Multiplying the two expressions together gives us the following:
Answer:
D. There is no mistake.
Step-by-step explanation:
The following lines show the process of factorization by using common factor.
<u>Line 1:</u>
In line 1, the equation is given and is completely fine.
The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.
<u>Line 2:</u>
In line 2, the terms are grouped, from which we can factor out common terms.
This is also fine.
<u>Line 3:</u>
In line 3, the common term y is taken out from group 1 and 2 from other group.
which is exactly what is given in line 3.
<u>Line 4:</u>
In line 4 the common factors can be seen and easily split into 2 factors.
which is exactly what is given in line 4.
Options:
A. The grouping is correct in line 2. So this option is does not hold.
B. Common factor was factored correctly from group 1. So this option does not hold.
C. Common factor was factored correctly from group 2. So this option does not hold.
D. There is no mistake. This is correct. Thus we choose this option as correct answer.